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USPshnik [31]
3 years ago
11

Please answer the question below and show working out pls

Mathematics
1 answer:
zaharov [31]3 years ago
3 0

9514 1404 393

Answer:

  $28.14

Step-by-step explanation:

The area of a container will be the sum of the base area and the lateral area. The relevant formulas are ...

  A = πr^2 . . . . . . . . area of the circular base with radius r

  A = 2πrh . . . . . . .  area of the side of the container

The sum of the two areas is ...

  Atot = πr^2 +2πrh = πr(r +2h) = π(7/2 cm)(7/2 cm +2·21 cm) = (π/4)(7)(91) cm^2

  Atot = 159.25π cm^2 = 0.015925π m^2 . . . . metal area per container

__

Then 125 containers will have an area of ...

  Aall = (125)(0.015925π m^2) = 1.990625π m^2 ≈ 6.25373 m^2

The price of this amount of sheet metal will be ...

  (6.25373 m^2)($4.50 /m^2) = $28.14 . . . cost of 125 containers

__

<em>Additional comment</em>

1 cm = 0.01 m, so (1 cm)^2 = (0.01 m)^2 = 0.0001 m^2

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Anuta_ua [19.1K]

Answer:

1.3 days

Step-by-step explanation:

1/5+1/4+1/3

12/60+20/60+15/60= 47/60

60/47

=1.3

8 0
3 years ago
Find the volume of the cylinder. Use 3.14 for s. Round your answer to the nearest hundredth.
serg [7]

Answer:

2255.31 cu.m

Step-by-step explanation:

Volume of a cylinder = πr²h

Given radius r = 6.5m

Height h = 17m

Volume = π × 6.5²×17

Volume = 3.14×6.5²×17

Volume of the cylinder = 2255.31cu.m

5 0
3 years ago
Help please <br><br>numbers 46, 47, 48
pentagon [3]

Answer:

46. ΔQRP ≅ ΔUTV

47. y = 42

48. ∠KMN = 101°

Step-by-step explanation:

46. It is convenient to name the vertices in the order of the number of arc identifying the angle. Corresponding vertices need to be named in the same order in the congruence statement.

47. From the sum of angles of a triangle, you know that ...

  x +62 +65 = 180

  x = 180 -127 = 53

  x - y = 11 since the corresponding sides are the same length

  53 - y = 11 . . . . . .substitute the value of x

  y = 53 - 11 . . . . . . add y-11

  y = 42

48. The exterior angle has the same measure as the sum of the opposite interior angles:

  81 +4x = 13x +36

  45 = 9x . . . . . . . . . add -4x-36

  5 = x . . . . . . . . . . . divide by 9

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8 0
3 years ago
How would i do both of these, show work pls
Alex_Xolod [135]

Answer:

-12.5%

-14.29%

Step-by-step explanation:

For #2:

Original price is $2.00, that price decreased by $0.25 is $1.75. First figure out what $0.25 out of $2.00 is as a percent:

0.25/2.00 = 0.125 = 12.5%

Then, since the price DECREASED by $0.25, the percent would be negative.

For #4:

Original price is $3.50, that price decreased by $0.50 is $3.00. Like #2, you need to figure out what $0.50 out of $3.50 is as a percent:

0.50/3.50 = 0.1429 = 14.29%

Then, since the price DECREASED by $0.50, the percent would be negative.

3 0
3 years ago
Formula for finding the circumference of a circle (both formula)
Natasha2012 [34]

Answer:

C = 2πr = dπ

Step-by-step explanation:

given radius r, the circumference is

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since diameter d = 2r the circumference is also dπ

5 0
4 years ago
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